Question

A triangle is shown on the graph below:

What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.

Answer 1

45

Explanation:

Answer 2

See explanation

Explanation:

A triangle ABC with vertices A(-5,5), B(-6,2) and C(-2,2) is rotated by 90° clockwise about the origin. This rotation has the rule

`(x,y)\rightarrow (y,-x)`

So,

• 
  `A(-5,5)\rightarrow A'(5,5);`
• 
  `B(-6,2)\rightarrow B'(2,6);`
• 
  `C(-2,2)\rightarrow C'(2,2).`

This rotation changes the position of the triangle (see attached diagram), doesn't change lengths of the sides, doesn't change angles (because the rotation is the rigid transformation).